Variable
VIF
QC44
2.35
QS308
2.15
ln(QS80)
3.53
Mean Lake Stage
2.88
S-80 total phosphorus model results and estimates using available data during the water year 1982 - 2019 period. Data were split into training and testing datasets (70:30).
Estimate
Standard Error
t-value
ρ-value
(Intercept)
-2.49
0.68
-3.64
≤ 0.01
-2.85x10-7
7.07x10-7
-0.40
0.69
-5.29x10-8
2.35x10-7
-0.22
0.82
1.22
0.06
20.21
-0.13
0.05
-2.57
0.02
Residual standard error: 0.22 on 20 degrees of freedom
Multiple R-squared: 0.98, Adjusted R-squared: 0.98
F-statistic: 289.8 on 20 and 4, ρ-value: ≤ 0.01
Predictor
Percent of R²
13.5
14.8
56.2
15.6
Parameter
Mean
Min
Max
Model
R2adj
0.97
0.96
0.98
RMSE
0.20
0.17
0.23
Train:Test
MAPE 1
19
13
28
MMA 1
84
78
88
NS 2
0.93
0.89
KG 2
0.86
0.74
1 Mean Absolute Percent Error (MAPE) and Min-Max Accuracy (MMA) expressed in percent
2 NS = Nash-Sutcliffe coefficient
2 KG = Kling-Gupta coefficient
S-80 total nitrogen model results and estimates using available data during the water year 1982 - 2019 period. Data were split into training and testing datasets (70:30).
1.76x10-2
0.51
0.03
6.60x10-8
5.24x10-7
0.13
0.90
1.99x10-7
1.74x10-7
1.14
0.27
1.06
0.04
23.66
-1.70x10-2
-0.47
0.65
Residual standard error: 0.16 on 20 degrees of freedom
Multiple R-squared: 0.99, Adjusted R-squared: 0.99
F-statistic: 510.9 on 20 and 4, ρ-value: ≤ 0.01
14.7
16.2
51.2
17.9
0.99
0.19
0.14
0.24
9
26
85
80
92
0.88
Month
Total Phosphorus(μg L⁻¹) a
Total Nitrogen(mg L⁻¹) a
Jan
106 ± 36 (64)
1.18 ± 0.32 (63)
Feb
108 ± 49 (66)
1.28 ± 0.41 (66)
Mar
114 ± 51 (67)
1.27 ± 0.47 (68)
Apr
117 ± 42 (66)
1.24 ± 0.47 (65)
May
132 ± 72 (67)
1.12 ± 0.34 (65)
Jun
178 ± 83 (59)
1.29 ± 0.4 (56)
Jul
216 ± 106 (63)
1.36 ± 0.45 (63)
Aug
197 ± 82 (69)
1.37 ± 0.67 (67)
Sep
221 ± 97 (65)
1.45 ± 0.38 (62)
Oct
192 ± 62 (62)
1.48 ± 0.41 (64)
Nov
155 ± 62 (69)
1.41 ± 0.45 (70)
Dec
113 ± 39 (62)
1.24 ± 0.29 (61)
a Mean ± Std Dev (N)
POR: Jan 1981 - April 2019
Station ID: C44S80
Data Source: SFWMD DBHydro
Root mean standard error for models and period of record estimates.
Estimate Method
RMSE A B
TP Load
23916
POR Est.
36478
TN Load
91523
329708
A RMSE value for POR Est. calculated using observed values versus annual estimated values using monthly mean concentrations
B RMSE value for Model - All Data backcalculated on untransformed predicted and observed values